What is the Greatest Common Factor of 4164 and 4169?

Greatest common factor (GCF) of 4164 and 4169 is 1.

GCF(4164,4169) = 1

We will now calculate the prime factors of 4164 and 4169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4164 and 4169.

How to find the GCF of 4164 and 4169?

We will first find the prime factorization of 4164 and 4169. After we will calculate the factors of 4164 and 4169 and find the biggest common factor number .

Step-1: Prime Factorization of 4164

Prime factors of 4164 are 2, 3, 347. Prime factorization of 4164 in exponential form is:

4164 = 2² × 3¹ × 347¹

Step-2: Prime Factorization of 4169

Prime factors of 4169 are 11, 379. Prime factorization of 4169 in exponential form is:

4169 = 11¹ × 379¹

Step-3: Factors of 4164

List of positive integer factors of 4164 that divides 4164 without a remainder.

1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082

Step-4: Factors of 4169

List of positive integer factors of 4169 that divides 4164 without a remainder.

1, 11, 379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4164 and 4169. The biggest common factor number is the GCF number.
So the greatest common factor 4164 and 4169 is 1.

Also check out the Least Common Multiple of 4164 and 4169